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21382944 = 2531120249
BaseRepresentation
bin101000110010…
…0011100100000
31111020100212220
41101210130200
520433223234
62042151040
7346515642
oct121443440
944210786
1021382944
1111085360
1271b2480
134578a3b
142ba8892
151d25a49
hex1464720

21382944 has 48 divisors (see below), whose sum is σ = 61236000. Its totient is φ = 6479360.

The previous prime is 21382943. The next prime is 21382967. The reversal of 21382944 is 44928312.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (21382943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9069 + ... + 11180.

It is an arithmetic number, because the mean of its divisors is an integer number (1275750).

Almost surely, 221382944 is an apocalyptic number.

21382944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21382944 is an abundant number, since it is smaller than the sum of its proper divisors (39853056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21382944 is a wasteful number, since it uses less digits than its factorization.

21382944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20273 (or 20265 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 21382944 is about 4624.1695470646. The cubic root of 21382944 is about 277.5593315227.

The spelling of 21382944 in words is "twenty-one million, three hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 20249 40498 60747 80996 121494 161992 222739 242988 323984 445478 485976 647968 668217 890956 971952 1336434 1781912 1943904 2672868 3563824 5345736 7127648 10691472 21382944